{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Sebastian Raschka](http://www.sebastianraschka.com)\n",
    "\n",
    "[back](https://github.com/rasbt/matplotlib-gallery) to the `matplotlib-gallery` at [https://github.com/rasbt/matplotlib-gallery](https://github.com/rasbt/matplotlib-gallery)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext watermark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: 15/07/2014 \n",
      "\n",
      "CPython 3.4.1\n",
      "IPython 2.0.0\n",
      "\n",
      "matplotlib 1.3.1\n",
      "numpy 1.8.1\n"
     ]
    }
   ],
   "source": [
    "%watermark -u -v -d -p matplotlib,numpy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"1.5em\">[More info](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/ipython_magic/watermark.ipynb) about the `%watermark` extension</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3D Plots in matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sections"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [3D scatter plot](#3D-scatter-plot)\n",
    "\n",
    "- [3D scatter plot with eigenvectors](#3D-scatter-plot-with-eigenvectors)\n",
    "\n",
    "- [3D cube](#3D-cube)\n",
    "\n",
    "- [Multivariate Gaussian distribution with colored surface](#Multivariate-Gaussian-distribution-with-colored-surface)\n",
    "\n",
    "- [Multivariate Gaussian distribution as mesh grid](#Multivariate-Gaussian-distribution-as-mesh-grid)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3D scatter plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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jbqWxvF0qlUIwGEQsFsOBAwfcnKopdMHVt8ZieJtyvUDNBLRU4A8TUEYtMMFk1ESlvpWi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\nmvagX3S9jNfn5yR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+hx+G8PrrEBYuhHLeefZ8MA/hllCbvS9NKxk0aBCuuuoq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1066c5d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# Generate some 3D sample data\n",
    "mu_vec1 = np.array([0,0,0]) # mean vector\n",
    "cov_mat1 = np.array([[1,0,0],[0,1,0],[0,0,1]]) # covariance matrix\n",
    "\n",
    "class1_sample = np.random.multivariate_normal(mu_vec1, cov_mat1, 20)\n",
    "class2_sample = np.random.multivariate_normal(mu_vec1 + 1, cov_mat1, 20)\n",
    "class3_sample = np.random.multivariate_normal(mu_vec1 + 2, cov_mat1, 20)\n",
    "\n",
    "# class1_sample.shape -> (20, 3), 20 rows, 3 columns\n",
    "\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "   \n",
    "ax.scatter(class1_sample[:,0], class1_sample[:,1], class1_sample[:,2], \n",
    "           marker='x', color='blue', s=40, label='class 1')\n",
    "ax.scatter(class2_sample[:,0], class2_sample[:,1], class2_sample[:,2], \n",
    "           marker='o', color='green', s=40, label='class 2')\n",
    "ax.scatter(class3_sample[:,0], class3_sample[:,1], class3_sample[:,2], \n",
    "           marker='^', color='red', s=40, label='class 3')\n",
    "\n",
    "ax.set_xlabel('variable X')\n",
    "ax.set_ylabel('variable Y')\n",
    "ax.set_zlabel('variable Z')\n",
    "\n",
    "plt.title('3D Scatter Plot')\n",
    "     \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3D scatter plot with eigenvectors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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y9c34zGrrFItFKIqCdDqtix6REDl42ji2VCqFaDSqB1Fy+HmXJAnxeNw2iJab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\nEEIIIYQQQgghhBBCCCHEk/0/mqV2ryK4TfAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1060c1ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.patches import FancyArrowPatch\n",
    "from mpl_toolkits.mplot3d import proj3d\n",
    "\n",
    "class Arrow3D(FancyArrowPatch):\n",
    "    def __init__(self, xs, ys, zs, *args, **kwargs):\n",
    "        FancyArrowPatch.__init__(self, (0,0), (0,0), *args, **kwargs)\n",
    "        self._verts3d = xs, ys, zs\n",
    "\n",
    "    def draw(self, renderer):\n",
    "        xs3d, ys3d, zs3d = self._verts3d\n",
    "        xs, ys, zs = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n",
    "        self.set_positions((xs[0],ys[0]),(xs[1],ys[1]))\n",
    "        FancyArrowPatch.draw(self, renderer)\n",
    "\n",
    "\n",
    "# Generate some example data\n",
    "mu_vec1 = np.array([0,0,0])\n",
    "cov_mat1 = np.array([[1,0,0],[0,1,0],[0,0,1]])\n",
    "class1_sample = np.random.multivariate_normal(mu_vec1, cov_mat1, 20)\n",
    "\n",
    "mu_vec2 = np.array([1,1,1])\n",
    "cov_mat2 = np.array([[1,0,0],[0,1,0],[0,0,1]])\n",
    "class2_sample = np.random.multivariate_normal(mu_vec2, cov_mat2, 20)\n",
    "\n",
    "# concatenate data for PCA\n",
    "samples = np.concatenate((class1_sample, class2_sample), axis=0)\n",
    "\n",
    "# mean values\n",
    "mean_x = np.mean(samples[:,0])\n",
    "mean_y = np.mean(samples[:,1])\n",
    "mean_z = np.mean(samples[:,2])\n",
    "\n",
    "#eigenvectors and eigenvalues\n",
    "eig_val, eig_vec = np.linalg.eig(cov_mat1)\n",
    "\n",
    "################################\n",
    "#plotting eigenvectors\n",
    "################################    \n",
    "\n",
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "ax.plot(samples[:,0], samples[:,1], samples[:,2], 'o', markersize=10, color='green', alpha=0.2)\n",
    "ax.plot([mean_x], [mean_y], [mean_z], 'o', markersize=10, color='red', alpha=0.5)\n",
    "for v in eig_vec.T:\n",
    "    a = Arrow3D([mean_x, v[0]], [mean_y, v[1]], \n",
    "                [mean_z, v[2]], mutation_scale=20, lw=3, arrowstyle=\"-|>\", color=\"r\")\n",
    "    ax.add_artist(a)\n",
    "ax.set_xlabel('variable X')\n",
    "ax.set_ylabel('variable Y')\n",
    "ax.set_zlabel('variable Z')\n",
    "\n",
    "plt.title('3D scatter plot with eigenvectors')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3D cube"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NlrPdFozTm7qbIAPyzODQoUPo2LEjGIbB5s2bIUkS2rVrZ8q11VBBsQi92hIy55y0T3GL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\nCoXSgfn/AYLQokbxoJlvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106815fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from itertools import product, combinations\n",
    "fig = plt.figure(figsize=(7,7))\n",
    "ax = fig.gca(projection='3d')\n",
    "ax.set_aspect(\"equal\")\n",
    "\n",
    "# Plot Points\n",
    "\n",
    "# samples within the cube\n",
    "X_inside = np.array([[0,0,0],[0.2,0.2,0.2],[0.1, -0.1, -0.3]])\n",
    "\n",
    "X_outside = np.array([[-1.2,0.3,-0.3],[0.8,-0.82,-0.9],[1, 0.6, -0.7],\n",
    "                      [0.8,0.7,0.2],[0.7,-0.8,-0.45],[-0.3, 0.6, 0.9],\n",
    "                      [0.7,-0.6,-0.8]])\n",
    "\n",
    "for row in X_inside:\n",
    "    ax.scatter(row[0], row[1], row[2], color=\"r\", s=50, marker='^')\n",
    "\n",
    "for row in X_outside:    \n",
    "    ax.scatter(row[0], row[1], row[2], color=\"k\", s=50)\n",
    "\n",
    "# Plot Cube\n",
    "h = [-0.5, 0.5]\n",
    "for s, e in combinations(np.array(list(product(h,h,h))), 2):\n",
    "    if np.sum(np.abs(s-e)) == h[1]-h[0]:\n",
    "        ax.plot3D(*zip(s,e), color=\"g\")\n",
    "        \n",
    "ax.set_xlim(-1.5, 1.5)\n",
    "ax.set_ylim(-1.5, 1.5)\n",
    "ax.set_zlim(-1.5, 1.5)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multivariate Gaussian distribution with colored surface"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/MWaiUqmMvKofNq5jUMBqXsGN4nHLYN0YFKybNcvLy1AUBaqq+hYmsVMmxzH0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10672d410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.mlab import bivariate_normal\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure(figsize=(10, 7))\n",
    "ax = fig.gca(projection='3d')\n",
    "x = np.linspace(-5, 5, 200)\n",
    "y = x\n",
    "X,Y = np.meshgrid(x, y)\n",
    "Z = bivariate_normal(X, Y)\n",
    "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm,\n",
    "        linewidth=0, antialiased=False)\n",
    "\n",
    "ax.set_zlim(0, 0.2)\n",
    "\n",
    "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n",
    "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n",
    "\n",
    "fig.colorbar(surf, shrink=0.5, aspect=7, cmap=plt.cm.coolwarm)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multivariate Gaussian distribution as mesh grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CabZYLi012HaFlb2FzVnJLUYQ/SHBQwx4sgmdVCqFSCSSt9DR2qXFGm4yysrK+hwLW+wi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zw1zM0FN3N51uVECCNonWjl8ZOPMzY9RkJkAtPOaVIlqYhDxDSNNZElz+Ke8nsICAhAa9Ly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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1067f18d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.mlab import bivariate_normal\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure(figsize=(10, 7))\n",
    "ax = fig.gca(projection='3d')\n",
    "x = np.linspace(-5, 5, 200)\n",
    "y = x\n",
    "X,Y = np.meshgrid(x, y)\n",
    "Z = bivariate_normal(X, Y)\n",
    "surf = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4, color='g', alpha=0.7)\n",
    "\n",
    "ax.set_zlim(0, 0.2)\n",
    "\n",
    "ax.zaxis.set_major_locator(plt.LinearLocator(10))\n",
    "ax.zaxis.set_major_formatter(plt.FormatStrFormatter('%.02f'))\n",
    "\n",
    "ax.set_xlabel('X')\n",
    "ax.set_ylabel('Y')\n",
    "ax.set_zlabel('p(x)')\n",
    "\n",
    "plt.title('bivariate Gassian')\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
